Radar Company sells bikes for $$510$ each. The company currently sells $4,450$ bikes per year and could make as many as $4,760$ bikes

per year. The bikes cost $$230$ each to make: $$190$ in variable costs per bike and $$40$ of fixed costs per bike. Radar receives an offer

from a potential customer who wants to buy $310$ bikes for $$490$ each. Incremental fixed costs to make this order are $$70$ per bike. No

other costs will change if this order is accepted.

$($a$)$ Compute the income for the special offer.

$($b$)$ Should Radar accept this offer?